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Simplifying 17y + -4 + -6y + 8 = 2(4y + -1) Reorder the terms: -4 + 8 + 17y + -6y = 2(4y + -1) Combine like terms: -4 + 8 = 4 4 + 17y + -6y = 2(4y + -1) Combine like terms: 17y + -6y = 11y 4 + 11y = 2(4y + -1) Reorder the terms: 4 + 11y = 2(-1 + 4y) 4 + 11y = (-1 * 2 + 4y * 2) 4 + 11y = (-2 + 8y) Solving 4 + 11y = -2 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 4 + 11y + -8y = -2 + 8y + -8y Combine like terms: 11y + -8y = 3y 4 + 3y = -2 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + 3y = -2 + 0 4 + 3y = -2 Add '-4' to each side of the equation. 4 + -4 + 3y = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = -2 + -4 3y = -2 + -4 Combine like terms: -2 + -4 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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